Least Common Multiple of 385, 875, 760, 723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 385, 875, 760, 723 i.e. 1057749000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 385, 875, 760, 723 is 1057749000.

LCM(385, 875, 760, 723) = 1057749000

LCM of 385, 875, 760, 723

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 385,875,760,723

Least Common Multiple (LCM) of 385,875,760,723 is 1057749000

5 385, 875, 760, 723
7 77, 175, 152, 723
11, 25, 152, 723

∴ So the LCM of the given numbers is 5 x 7 x 11 x 25 x 152 x 723 = 1057749000

Least Common Multiple of 385,875,760,723 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 385,875,760,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,875,760,723) = 1

common factors(in case of two or more numbers have common factors) = 175

GCF(385,875,760,723) x common factors =1 x 175 = 175

LCM(385,875,760,723) = ( 385 × 875 × 760 × 723 ) / 175

LCM(385,875,760,723) = 185106075000 / 175

LCM(385,875,760,723) = 1057749000

∴ Least Common Multiple of 385,875,760,723 is 1057749000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 385, 875, 760, 723

1. What is the LCM of 385, 875, 760, 723?

Answer: LCM of 385, 875, 760, 723 is 1057749000.

2. What are the Factors of 1057749000?

Answer: Factors of 1057749000 are . There are integers that are factors of 1057749000

3. How to Find the LCM of 385, 875, 760, 723 ?

Least Common Multiple of 385, 875, 760, 723.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(385, 875, 760, 723) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 11 x 19 x 241 = 1057749000.